A New Conformal Map for Polynomial Chaos Applied to Direction-of-Arrival Estimation via UCA Root-MUSIC [PDF]
Sensors, 2022 The effects of random array deformations on Direction-of-Arrival (DOA) estimation with root-Multiple Signal Classification for uniform circular arrays (UCA root-MUSIC) are characterized by a conformally mapped generalized Polynomial Chaos (gPC) algorithm.
Seppe Van Brandt +3 more
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Harmonicity of horizontally conformal maps and spectrum of the Laplacian [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 We discuss the harmonicity of horizontally conformal maps and their relations with the spectrum of the Laplacian. We prove that if Φ:M→N is a horizontally conformal map such that the tension field is divergence free, then Φ is harmonic. Furthermore, if N
Gabjin Yun
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Celestial diamonds: conformal multiplets in celestial CFT [PDF]
Journal of High Energy Physics, 2021 We examine the structure of global conformal multiplets in 2D celestial CFT. For a 4D bulk theory containing massless particles of spin s = 0 1 2 1 3 2 2 $$ \left\{0,\frac{1}{2},1,\frac{3}{2},2\right\} $$ we classify and construct all SL(2,ℂ) primary ...
Sabrina Pasterski +2 more
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Noise effects on Padé approximants and conformal maps * [PDF]
Journal of Physics A: Mathematical and Theoretical, 2022 We analyze the properties of Padé and conformal map approximants for functions with branch points, in the situation where the expansion coefficients are only known with finite precision or are subject to noise.
Ovidiu Costin +2 more
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A factorization of a super-conformal map
, 2015 A super-conformal map and a minimal surface are factored into a product of two maps by modeling the Euclidean four-space and the complex Euclidean plane on the set of all quaternions. One of these two maps is a holomorphic map or a meromorphic map. These
B. Rouxel +21 more
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Numerical computation of the conformal map onto lemniscatic domains
Computational methods in Function Theory, 2015 We present a numerical method for the computation of the conformal map from unbounded multiply-connected domains onto lemniscatic domains. For $\ell$-times connected domains the method requires solving $\ell$ boundary integral equations with the Neumann ...
Liesen, Jörg +2 more
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The hypersurfaces with conformal normal Gauss map in Hn+1 and S1n+1 [PDF]
Anais da Academia Brasileira de Ciências, 2008 In this paper, we introduce the fourth fundamental forms for hypersurfaces in Hn+1 and space-like hypersurfaces in S1n+1, and discuss the conformality of the normal Gauss map of the hypersurfaces in Hn+1 and S1n+1.
Shuguo Shi
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Genus-zero Whitham hierarchies in conformal-map dynamics☆☆Partially supported by MEC project FIS2005-00319. [PDF]
, 2006 A scheme for solving quasiclassical string equations is developped to prove that genus-zero Whitham hierarchies describe the deformations of planar domains determined by rational conformal maps.
Luis Martı́nez Alonso +1 more
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The map between conformal hypercomplex/hyper-Kaehler and quaternionic(-Kaehler) geometry [PDF]
, 2006 We review the general properties of target spaces of hypermultiplets, which are quaternionic-like manifolds, and discuss the relations between these manifolds and their symmetry generators.
Antoine Van Proeyen +6 more
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Representation of conformal maps by rational functions [PDF]
Numerische Mathematik, 2019 The traditional view in numerical conformal mapping is that once the boundary correspondence function has been found, the map and its inverse can be evaluated by contour integrals.
Abinand Gopal, Lloyd N. Trefethen
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